What does mutual inductance measure?

State the definition of mutual inductance using flux linkage.

State the induced emf in circuit 2 when current \(I_1\) changes in circuit 1.

Two coils have \(M=0.20\,\mathrm{H}\). The current in coil 1 changes at \(5.0\,\mathrm{A\,s^{-1}}\). Find \(|\mathcal E_2|\).

A current in coil 1 is constant. What emf is induced in coil 2 by mutual inductance?

A coil with \(N_2=200\) has flux per turn \(3.0\times10^{-5}\,\mathrm{Wb}\) due to \(I_1=2.0\,\mathrm{A}\). Find \(M\).

Two coils have \(L_1=4.0\,\mathrm{H}\), \(L_2=9.0\,\mathrm{H}\), and coupling coefficient \(k=0.50\). Find \(M\).

Coils have \(L_1=0.80\,\mathrm{H}\), \(L_2=0.20\,\mathrm{H}\), and \(M=0.20\,\mathrm{H}\). Find the coupling coefficient.

What does the minus sign in \(\mathcal E_2=-M\,dI_1/dt\) represent?

If two coils are moved farther apart, what usually happens to their mutual inductance?

Why is \(M_{12}=M_{21}\) for ordinary stationary linear circuits?

A current changes from \(1.0\,\mathrm{A}\) to \(4.0\,\mathrm{A}\) in \(0.020\,\mathrm{s}\). With \(M=0.060\,\mathrm{H}\), find the average induced emf magnitude.

Derive \(\mathcal E_2=-M\,dI_1/dt\) from flux linkage.

Why is mutual inductance useful in transformer modeling?

Can \(M\) be larger than \(\sqrt{L_1L_2}\) for passive coupled coils? Explain.

Two coils have \(M=0.15\,\mathrm{H}\). If \(I_1(t)=2.0t^2\) in amperes with \(t\) in seconds, find \(\mathcal E_2\) at \(t=3.0\,\mathrm{s}\).

A pair of coils has \(L_1=2.0\,\mathrm{H}\), \(L_2=8.0\,\mathrm{H}\), and \(k=1\). What is the maximum possible mutual inductance?

A secondary coil is open-circuit. Can a changing primary current still induce emf in it?

Why does inserting an iron core usually increase mutual inductance between two coils?

Explain the difference between mutual inductance and self-inductance using flux linkage.